View note:NDA-2013-Mathematics



Questions of this subject!.

QuestionLikes!Dislikes!Answers!
1) What is the number of people who do not know any of the above three languages?

010
2)Read the passage and answer the questiion

000
3)Read the passage and answer the questiion

000
4)Read the passage and answer the questiion

000
5)Read the passage and answer the questiion

000
6) What is the degree of the equation 1/x-3=1/x+2-1/2?

000
7)If A={x,y}, B={2,3}, C={3,4}, then what is the number of element in Ax(BUC)?

000
8)What is the value of logy x5 logx y2 logz z3 ?

010
9) Let N be the set of natural numbers and f: N àN be the function given by f(x)= x+1 for x(- N. Which one of the following is correct?

000
10)If the sum of the roots of a quadratic equation is 3 and the product is 2, then the equation is

000
11)If a and B are the roots of the equation x2+bx+c=0, then what is the value of a-1 +B-2 ?

010
12)The area of the rectangle whose length is five more than twice its width is 75 square unit. The length is

001
13) If 4x – 6.2+8=0, then the values of x are

000
14)A bag contains balls of two colours, 3 black and 3 white. What is the smallest number of balls which must be drawn from the bag, without looking, so that among these there are two of the same colour?

101
15)What is the sum of the coefficient in the expansion of (1+x)n ?

010
16) If p(77,31)=x and c(77,31)=y, then which one of the following is correct?

000
17)The binary representation of the decimal number 45 is

001
18) If the roots of quadratic equation ax2+bx+c=0 are a and B, then the quadratic equation having roots a2 and B2 is

000
19)If the roots of the equation 3ax2+2bx+c=0 are in the ratio 2:3, then which one of the following is correct?

000
20)Two straight line paths are represented by the equation 2x-y=2 and -4x+2y=6 Then the paths will

000
21)For what value of K, the equation 3x-y=8 and 9x-Ky=24 will have infinitely many solutions?

000
22)If the number n-3, 4n-2, 5n+1 are in AP, what is the value of n?

100
23)For what value of K, the equation 3x-y=8 and 9x-Ky=24 will have infinitely many solutions?

000
24)If the number n-3, 4n-2, 5n+1 are in AP, what is the value of n?

000
25) What is the degree of the differential equation (d4y/dx4)3/5-5d3y/dx3+6d2y/dx2-8dy/dx+5=0?

010
26)The general solution of the differential equation x dy/dx+y=0 is

000
27)What is the area of the triangle bounded by the sides x=0, y=0 and x+y=2?

000
28)The general solution of differential equation in (dy/dx)+x=0 is

000
29)The average mark obtained by the student in a class are 43. If the average mark obtained by the 25 boys are 40 and the average marks obtained by the girls students are 48, then What is the number of girls students in the class?

001
30)Mark obtained by 7 students in a subject are 30, 55, 75, 90, 50, 60, 39. The number of students securing marks less than the mean mark is

001
31)Variance is always independent of the change of

000
32) If two lines of regression are perpendicular, then the correlation coefficient r is

000
33)The standard deviation of the observations 5, 5, 5, 5, 5, is

100
34)The marks obtained by 13 students in a test are 10, 3, 10, 12, 9, 7, 10, 8, 6, 7. The median of this data is

101
35) Consider the following statements:

000
36)The harmonic mean H of two numbers is 4 and the arithmetic mean A and geometric mean G satisfy the equation 2A+G2=27. The two numbers are

100
37)Consider the following frequency distribution:

000
38)In how many ways can the letter of the word ‘GLOOMY’ be arranged so that the two O’s should not be together?

100
39)Consider a random experiment of throwing together a die and two coins. The associated sample space has

000
40)In throwing a six faced die, let A be the event that an even number occur, B be the event that an odd number occurs and C be the event that a number greater than 3 occurs. Which one of the following is correct?

100
41)What is the probability of getting a sum of 7 with two dice?

101
42)Four coins are tossed simultaneously. What is the probability of getting exactly 2 heads?

101
43)A bag contains 5 black and 3 white balls. Two balls are drawn at random one after the other without replacement. What is the probability that both are white?

101
44)A fair coin is tossed repeatedly. The probability of getting a result in the fifth toss different from those obtained in the first four tosses is

101
45)If X follows a binomial distribution with parameters n=100 and p=1/3, then P(X=r) is maximum when

100
46)Two numbers are successively drawn from the set U={1,2,3,4,5,6,7,8], the second being drawn without replacing the first. The number of clementary events in the sample is

000
47)The binomial distribution has

000
48) If y=sin(ax+b), then what is d2y/dx2 at x=-b/a, where a,b are constants a not=0?

000
49)Which is the range of the function f(x)=|x|/x,xnot=0?

000
50)If y=x2,what is dy/dx at x=1 equal to?

000
51)The function f(x)=x2-4x, x(- (0,4) attains minimum value at

000
52) The curve y=xex has minimum value equal to

010
53)Consider the following statements:

000
54)What is the differential coefficient of logxx?

010
55)What is the area of the region enclosed by y=2|x| and y=4?

000
56) What is the area of the parabola y2=x bounded by its latus rectum?

000
57)The derivative of sec2x with respect to tan2x is

000
58)The differential equation of the curve y=sinx is

000
59)The degree and order respectively 0f the differential equation dy/dx=1/x+y+z are

000
60)Which one of the following points lies inside a circle of radius 6 and centre at (3,5)?

000
61)What one of the following points lies inside a circle of radius 6 and centre at (3,4) and the sum of whose X and Y intercept is 14?

000
62)The point whose abscissa is equal to its ordinate and which is equidistant from A(-1,0) and B(0,5) is

000
63)The difference of focal distances of any point on a hyperbola is equal to

000
64)What is the area of the triangle whose vertices are (3,0),(0,4) and (3,4)?

000
65)The sum of the direction cosines of Z-axis is

000
66) What is the distance between the planes x-2y+z-1=0 and -3x+6y-3z+2=0?

000
67)What should be the value of k for which the equation 3x2+3y2+(k+1)z2+x-y+z=0 represents the sphere?

000
68) If 2x2-3y2=7, what is dy/dx equal to (y is not =0)?

000
69)The derivative of |x| at x=0

000
70)Show that the maximum rectangle inscribed in a circle is a square. 8 2 2 0

000
71)Find the equation of the tangent plane that can be drawn to the sphere x2+ y2+ z2— 2x + 6y + 2z + 8 = 0, through the straight line 3x — 4y — 8 = 0 = y — 3z + 2.

000
72)Find the angle between the two straight lines.

000